The complexity of the Specht modules corresponding to hook partitions.

DOI10.1007/S00013-009-0011-XzbMath1198.20012arXiv0903.0411OpenAlexW2007719610MaRDI QIDQ1039936

Kay Jin Lim

Publication date: 23 November 2009

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0411

zbMATH Keywords

Specht moduleshook partitionscomplexity of modulesvarieties for modulesgeneric Jordan typesigned permutation modules

Mathematics Subject Classification ID

Partitions of sets (05A18) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (5)

Sylow subgroups of symmetric and alternating groups and the vertex of \(S^{(k p - p, 1^p)}\) in characteristic \(p\) ⋮ On some trivial source Specht modules ⋮ The complexity of certain Specht modules for the symmetric group. ⋮ The Benson-Symonds invariant for ordinary and signed permutation modules ⋮ On the complexities of some simple modules of symmetric groups

Cites Work

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• The varieties and the cohomology ring of a module
• Generic and maximal Jordan types
• The complexity of certain Specht modules for the symmetric group.
• The varieties for some Specht modules.
• Representations, resolutions and Quillen's dimension theorem
• Quillen stratification for modules
• The representation theory of the symmetric groups
• Two theorems on the vertices of Specht modules.
• Generic module theory
• Support varieties for modules over symmetric groups
• Symmetric and Exterior Powers, Linear Source Modules and Representations of Schur Superalgebras

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